Private garden is really the only option imo to do truly organic. The size of the operation will push you towards integrated crop management for some crops. Like I don't care if birds and slugs get some berries, and I pant a lot of garlic and chives between the strawberries, plus rotate them every 3 years and don't mind loss of crop/small crop every few years due to rotation/starting young plants. Have you tried growing some in containers if you do not have a garden?
With non-organic strawberries Choco recommends washing them in soapy water. I do that when my garden is not pumping them out like mad. With the 3 of us we don't grow enough to freeze (my mom does, she only grows for herself).